If R divides the line segment joining P(2, 3, 4) and Q (4, 5, 6) in the ratio -3 : 2, then the value of the parameter which represents R is

Engineering

Mathematics

Line of Greatest Slope

Question

= (8, 9, 10)

= (10, 9, 8)

= (10, 8, 9)

= (9, 10, 8)

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Given,

P (2, 3, 4), Q (4, 5, 6)

Given Ratio

= - \frac{3}{2} = \frac{m}{n}

Let

R

(x_{3}, y_{3}, z_{3})

R = (\frac{m x_{2} + n x}{m + n}, \frac{m y_{2} + n y}{m + n} + \frac{m z_{2} + n z}{m + n})

= (\frac{- 3 (4) + 2 (2)}{- 3 + 2}, \frac{- 3 (5) + 2 (3)}{- 3 + 2} + \frac{- 3 (6) + 2 (4)}{- 3 + 2})

= (- \frac{8}{- 1}, - \frac{9}{- 1}, - \frac{10}{- 1})

= (8, 9, 10)

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